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Kabe Moen

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By-Play

Helpmates

7/7/2016

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Let's step aside from directmates for awhile and visit the wonderful genre of helpmates.  In a helpmate, Black moves first and cooperates with White to checkmate Black on White's last stipulated move.  It would be impossible to cover even a fraction of the ideas and themes of the helpmate genre in a single blog post.  In fact an entire blog could be dedicated to helpmates.  Rather, I will cover some of my favorite helpmates.

Kniest, Peter
The Chess Amateur 1932

h#2
2 + 2


We usually start with one my own but I wanted to give a simple example to get a feel for how helpmates work.  If White could play first, he would simply mate with b7.  However, black plays first and we have the solution 1.a6 b7+ 2.Ka7 b8=Q.  In the notation, we write Black's moves first.  Notice that there is a single forced solution - there are no transpositions or variations, this is part of the "rules" of helpmates.  This problem is obviously extremely simple, since Black only has three moves (two of them reasonable) in the initial position the solver must decide which works.  1.a6 works because the pawn will self-block on a6.

Shire, David
Phénix 1993

h#2       2 Solutions
5 + 4


Here is one of my favorite helpmates.  Unlike the above example modern helpmates should have multiple solutions.  These multiple solutions are akin to the variations in directmate problems.  Preferably the solutions should be well matched.  In this case the solutions are perfectly matched: 1.Rxe6 (selfpin) Rg6 (shutoff) 2.Rb6 (selfblock) d4 (battery mate) 1.Bxd3 (selfpin) Be2 (shutoff) 2.Bb5 (selfblock) e7 (battery mate).  In addition to the perfectly matched solutions the relationship between them shows an orthogonal to diagonal transformation.  Beautiful.

Petkov, Petko & Krasimir, Gandev
Olimp. T. Skopje 1972

h#2       3 Solutions
6 + 9


Here is another helpmate with 3 perfectly matched solutions.  The idea is that Black must interfere with its bishop on h1 so that the White K+B battery can be fired.  In addition, White must clear the lines for the wK to move.  Really nice.

1.Rg1 Rd8 2.Rg2 Kd3
1.fxg3 Ba7 2.g2 Ke3
​1.Rh2 Ra5 2.Rg2 Ke5.


Feather, Christopher
Moultings-5 1991

h#2       2 Solutions
7 + 11


The capture of White pieces is always a nice idea in a helpmate.  Here the bQ takes turns capturing the wB and wR to let the other one pass by for an anticipatory shut-off.  The reason the bQ cannot just get out of the way is because she needs to free a  square for the bK.  This is the so-called Feather mechanism.  Beautiful orthogonal-diagonal transformation.

1.Qxg8 Rf3 2.Ke6 Re2
​1.Qxf8 Bc4 2.Kf6 Bc3

Ternblad, Helmer
feenschach 1954

h#3       set play
4 + 2


Here is something a little different.   Underpromotion is always a welcome idea and it is nice if AUW is accomplished.  This helpmate is has set play, meaning it is the helpmate version of a mutate.  If White could move first it could move the pawn on the f-file to promote.   Black could help out by promoting its pawn to a bishop to block on b2 and then White could promote to a rook (not a queen) to mate on a8.The solution would go:

1...f7 2.a1=B f8=R 3.Bb2 Ra8

 Unfortunately White cannot maintain this strategy if Black moves first. So the two other promotions work: 

1.a1=S f7 2.Sc2 f8=Q+ 3.Ka4 Qb4

Moen, Kabe
The Problemist Supplement 2016

h#3       (b) c6=bR
5 + 7


Finally we end with one of my own.  I have employed the twinning method to obtain a second solution.  Give it a shot, I'll post the solution when it is available.
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    Chess Problems

    On the side I like to dabble in chess problem composition.  I am mostly interested in two and three move direct mates.  I hope to convey the beauty and logic of chess problems with this blog. In the entries are some of my favorite problems and my own problems.  Before looking at the problems I suggest reading this introduction to the chess problem world by the British Chess Problem Society.  Also, here is a list of terminology  and themes.   Here is a link to my problems on yacpdb.

    ARTICLES

    1. "Choose wisely" The Problemist Supplement, Sept. 2016

    2. "Double checking white in a two mover" StrateGems July 2016

    3. "Double check without capture" The Problemist Supplement, January 2018

    4. "The disappearing Nowotny: Part I" The Problemist Supplement, March 2018

    5. "The disappearing Nowotny: Part II" The Problemist Supplement, May 2018

    6. "The disappearing Nowotny: Part III" The Problemist Supplement, July 2018

    7. "Castling with half-battery and Fleck themes" StrateGems, July 2018

    8. "The Baku Nowotny" StrateGems, January 2019

    9. "The Romanian Nowotny with Fleck" The Problemist, March 2019

    10. "Mirror Image" The Problemist Supplement, May 2019

    11. "White King in Check" Problemas, July 2019

    12. "A Simple Mechanism", StrateGems, July 2019

    13. "Miniatures with castling and (partial) Fleck" Problemist Supplement, September 2019

    14. "Taking the Straitjacket off the Fleck" The Problemist Supplement, November 2019

    15. "Unforced threats" The Problemist Supplement, May 2020

    16. "Ojanen in Miniature" The Problemist Supplement, May 2020

    17. "Developments in the Finnish Nowotny" The Problemist, July 2020

    18.  "Categorising  the Fleck theme" The Problemist, January 2021

    19.  "Masking the Bristol"  The Problemist Supplement, March 2021

    20. "My love of the Novotny" StrateGems July 2021

    21. "Masked Novotny" The Problemist Supplement, November 2021


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